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math-ph2001★ 16 cited
Singularity Formation in 2+1 Wave Maps
James Isenberg, Steven L. Liebling
We present numerical evidence that singularities form in finite time during the evolution of 2+1 wave maps from spherically equivariant initial data of sufficient energy.
math-ph1999★ 15 cited
Critical Phenomena in Nonlinear Sigma Models
Steven L. Liebling, Eric W. Hirschmann, James Isenberg
We consider solutions to the nonlinear sigma model (wave maps) with target space S^3 and base space 3+1 Minkowski space, and we find critical behavior separating singular solutions…